$f$-Asymptotically $\mathcal{I}_{\sigma}$-Equivalence of Real Sequences

Abstract

In this study, we present the notions of strongly asymptotically $\mathcal{I}$-invariant equivalence, $f$-asymptotically $\mathcal{I}$-invariant equivalence, strongly $f$-asymptotically $\mathcal{I}$-invariant equivalence and asymptotically $\mathcal{I}$-invariant statistical equivalence for real sequences. Also, we investigate some relationships among them.